Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 872, 549, 732, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 872, 549, 732, 212 is 1
GCD(872, 549, 732, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 549, 732, 212 is 1
GCD(872, 549, 732, 212) = 1
Given Input numbers are 872, 549, 732, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 872, 549, 732, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 549, 732, 212 is 1.
Therefore, GCD of numbers 872, 549, 732, 212 is 1
Given Input Data is 872, 549, 732, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 212 is 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(872, 549) = 478728
GCD(872, 549) = ( 872 x 549 ) / 478728
GCD(872, 549) = 478728 / 478728
GCD(872, 549) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 872, 549, 732, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 872, 549, 732, 212?
GCD of 872, 549, 732, 212 is 1
2. Where do I get the detailed procedure to find GCD of 872, 549, 732, 212?
You can find a detailed procedure to find GCD of 872, 549, 732, 212 on our page.
3. How to find GCD of 872, 549, 732, 212 on a calculator?
You can find the GCD of 872, 549, 732, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.